| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Parts |
| Type | Integration of x^n·ln(x) |
| Difficulty | Standard +0.3 This is a straightforward application of integration by parts with a standard x^n·ln(x) form. The technique is routine for C3 level: let u=ln(x), dv=x²dx, then integrate and apply limits. While it requires careful execution and simplification to exact form, it's a textbook example with no novel insight needed, making it slightly easier than average. |
| Spec | 1.08i Integration by parts |
1 Evaluate $\int _ { 1 } ^ { 2 } x ^ { 2 } \ln x \mathrm {~d} x$, giving your answer in an exact form.
\hfill \mbox{\textit{OCR MEI C3 Q1 [5]}}